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arxiv: 1404.1466 · v1 · pith:RCI3ZUVKnew · submitted 2014-04-05 · 🧮 math.AP · math.DS· math.FA· math.PR

Coarse-graining and fluctuations: Two birds with one stone

classification 🧮 math.AP math.DSmath.FAmath.PR
keywords coarse-graininglarge-deviationapproachbirdsconceptfluctuationsformfunctional
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We show how the mathematical structure of large-deviation principles matches well with the concept of coarse-graining. For those systems with a large-deviation principle, this may lead to a general approach to coarse-graining through the variational form of the large-deviation functional.

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